Trigonometric Relations and Identities | math4u.vsb.cz

Submitted by michaela.bailova on Sun, 12/01/2024 - 01:00

Project ID:

7100020179

Accepted:

SubArea:

Sine, cosine, tangent and cotangent

Type:

Layout:

Question:

Match the trigonometric expressions that are equal for all

x \in (0, \frac{π}{2})

.

Question 1:

(1 + \cos x) (1 - \cos x)

Answer 1:

\sin^{2} x

Question 2:

\sin^{2} x + \cos^{2} x

Answer 2:

1

Question 3:

\cos^{2} x - \sin^{2} x

Answer 3:

\cos 2 x

Question 4:

2 \sin x \cos x

Answer 4:

\sin 2 x

Question 5:

1 - \sin^{2} x

Answer 5:

$\cos^{2} x$

Question 6:

{tg}^{2} x \cdot cotg x

Answer 6:

tg x

Question 7:

\frac{1}{\cos^{2} x}

Answer 7:

1 + {tg}^{2} x

Question 8:

\frac{1}{\sin^{2} x}

Answer 8:

1 + {cotg}^{2} x

Question 9:

(\sin x + \cos x)^{2}

Answer 9:

1 + \sin 2 x